Search a number
-
+
23459255046 = 23319210972
BaseRepresentation
bin10101110110010001…
…111101001100000110
32020112220201122002000
4111312101331030012
5341021032130141
614435501130130
71460225243403
oct256621751406
966486648060
1023459255046
119a49157597
124668559946
13229b279606
1411c78b92aa
159247ca5b6
hex57647d306

23459255046 has 72 divisors (see below), whose sum is σ = 55070060040. Its totient is φ = 7401432672.

The previous prime is 23459254993. The next prime is 23459255059. The reversal of 23459255046 is 64055295432.

23459255046 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 92 + 550 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23459254992 and 23459255010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21384370 + ... + 21385466.

It is an arithmetic number, because the mean of its divisors is an integer number (764861945).

Almost surely, 223459255046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23459255046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27535030020).

23459255046 is an abundant number, since it is smaller than the sum of its proper divisors (31610804994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23459255046 is an equidigital number, since it uses as much as digits as its factorization.

23459255046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 23459255046 in words is "twenty-three billion, four hundred fifty-nine million, two hundred fifty-five thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 1097 2166 2194 3249 3291 6498 6582 9747 9873 19494 19746 20843 29619 41686 59238 62529 125058 187587 375174 396017 562761 792034 1125522 1188051 1203409 2376102 2406818 3564153 3610227 7128306 7220454 10692459 10830681 21384918 21661362 22864771 32492043 45729542 64984086 68594313 137188626 205782939 411565878 434430649 617348817 868861298 1234697634 1303291947 2606583894 3909875841 7819751682 11729627523 23459255046